Abstract: An improved anchoring appliance for detachably securing a catheter or other elongate or tube-like member to the limb of a body is disclosed. A primary strap with a slip-resistant surface portion is configured for adjustable encircling attachment to the limb. The slip-resistant surface portion directly engages the limb and includes material that resists slippage of the strap longitudinally along the limb. A secondary anchoring member attached to the strap is configured to detachably retainably engage and hold a catheter or other elongate or tube-like member in a desired position relative to the strap. The anchoring appliance preferably has at least its slip-resistant surface portion made of non-allergenic materials.